A sonometer wire has vibrating length L, tension T and linear mass density μ. The wire vibrates in its fundamental mode between two bridges. Which expression gives its fundamental frequency?
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Question

A sonometer wire has vibrating length L, tension T and linear mass density μ. The wire vibrates in its fundamental mode between two bridges. Which expression gives its fundamental frequency?

G1 Physics · Accepted Answer

For the fundamental mode of a wire fixed at two bridges, λ = 2L. Wave speed is v = √(T/μ). Therefore, f = v/λ = [1/(2L)]√(T/μ). Correct option: A.